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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 77616bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.r1 | 77616bw1 | \([0, 0, 0, -1764, -37044]\) | \(-27648/11\) | \(-241517396736\) | \([]\) | \(80640\) | \(0.89305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616bw do not have complex multiplication.Modular form 77616.2.a.bw
sage: E.q_eigenform(10)